Research for new algorithms by integrable system approach
| Project/Area Number |
20740064
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto Prefectural University |
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Principal Investigator |
IWASAKI Masashi Kyoto Prefectural University, 生命環境科学研究科, 准教授 (30397575)
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| Co-Investigator(Renkei-kenkyūsha) |
KONDO Koichi 同志社大学, 理工学部, 准教授 (30314397)
ISHIWATA Emiko 東京理科大学, 理学部, 教授 (30287958)
YAMAMOTO Yusaku 神戸大学, 工学研究科, 教授 (20362288)
NAKAMURA Yoshimasa 京都大学, 情報学研究科, 教授 (50172458)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 応用数学 / 可積分系 / 行列の対角化 / 離散可積分系 / 行列の固有値分解 / 行列の特異値分解 / ニュートン法 / 誤差解析 / 中心多様体 / ロトカ・ボルテラ系 / フィボナッチ数 / ハングリー可積分系 / 中心多様体理論 / 2次非線形方程式 / 超平面 / 局所解析 / 特異値分解 / 固有値分解 / ハングリーロトカ・ボルテラ系 / 漸近解析 |
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| Research Abstract |
We design new three kinds of algorithms based on the studies of integrable systems. One of our proposal algorithms is matrix eigenvalues algorithm for band matrices. The second is matrix diagonalization algorithm for general matrices. The third is matrix eigenvalues algorithm in Max-Plus algebra. We also clarify some numerical properties of our proposal algorithms and existing algorithms.
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Report
(4 results)
Research Products
(55 results)
